Compactness of linearized Boltzmann operators for polyatomic gases

2024/07/16 by Bernhoff, Niclas, Boudin, Laurent, Čolić, Milana +1 · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.11452

Abstract

In this article, we recall various existing kinetic models of non-reactive polyatomic gases. We also review the results, all recently obtained, about the compactness of the associated linearized Boltzmann operator, and briefly investigate the mixture case. Eventually, with a specific collision kernel, we present a discussion about the physical relevance of the assumptions used to obtain the compactness results.

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• Two-temperature fluid models for a polyatomic gas based on kinetic theory for nearly resonant collisions
• Regularity Theory for the Space Homogeneous Polyatomic Boltzmann Flow
• The half-space problem of evaporation and condensation for polyatomic gases and entropy inequalities

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